Mamadou Birba, Oumar Traore
Abstract:
This article studies of null controllability property of nonlinear
coupled one dimensional degenerate parabolic equations.
These equations form a cascade system, that is, the solution of the
first equation acts as a control in the second equation and the
control function acts only directly on the first equation.
We prove positive null controllability results when the control and
a coupling set have nonempty intersection.
Submitted March 21, 2016. Published August 16, 2016.
Math Subject Classifications: 35K65, 93B05, 93B07, 93C20.
Key Words: Null controllability; nonlinear coupled systeml Carleman inequality;
observability inequality; degenerate parabolic system;
Kakutani fixed point.
Show me the PDF file (342 KB), TEX file for this article.
 |
Mamadou Birba Laboratoire LAMI, Universitá Ouaga I Professeur Joseph Ki Zerbo 01 BP 7021 Ouaga 01, Burkina Faso email: birba12mamadou@gmail.com |
|---|---|
 |
Oumar Traore Département de Mathématiques de la Decision Université Ouaga 2 12 BP 417 Ouaga 12, Burkina Faso email: traore.oumar@univ-ouaga.bf |
Return to the EJDE web page